10187394048 has 264 divisors, whose sum is σ = 33064912608. Its totient is φ = 2997485568.

The previous prime is 10187394047. The next prime is 10187394067. The reversal of 10187394048 is 84049378101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10187393994 and 10187394012.

It is not an unprimeable number, because it can be changed into a prime (10187394043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2753736 + ... + 2757432.

Almost surely, 2^10187394048 is an apocalyptic number.

10187394048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10187394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532456304).

10187394048 is an abundant number, since it is smaller than the sum of its proper divisors (22877518560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10187394048 is a wasteful number, since it uses less digits than its factorization.

10187394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10187394048 in words is "ten billion, one hundred eighty-seven million, three hundred ninety-four thousand, forty-eight".